3-Take the following system with the input x, and output y, y(n) = cy(n – 1) + x(n). Take y(n) = 0, for n < 0. Using the z transform, find the output if (a) æ(n) = 6(n), (b) x(n) = u(n). Note that c is a constant. Evaluate your results in part (a) when (1) c= 0.5, (2) c = 2. Do you see similar trends in the two cases? Discuss the behavior (stability) of the system for different values of c.

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
icon
Related questions
Question
3-Take the following system with the input x, and output y,
у(п) — су(п — 1) + ~(п).
Take y(n) = 0, for n < 0. Using the z transform, find the output if
(а) 2(п) — 6(п),
(b) x(n) = u(n).
Note that c is a constant. Evaluate your results in part (a) when
(1) с %3D 0.5,
- 2.
(2) с %3D 2.
Do you see similar trends in the two cases? Discuss the behavior (stability) of the system
for different values of c.
Transcribed Image Text:3-Take the following system with the input x, and output y, у(п) — су(п — 1) + ~(п). Take y(n) = 0, for n < 0. Using the z transform, find the output if (а) 2(п) — 6(п), (b) x(n) = u(n). Note that c is a constant. Evaluate your results in part (a) when (1) с %3D 0.5, - 2. (2) с %3D 2. Do you see similar trends in the two cases? Discuss the behavior (stability) of the system for different values of c.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Infinite Impulse Response (IIR) and Finite Impulse Response (FIR) Filter
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,